[General calculation method of diffraction efficiency of concave blazed gratings]

Area of Science:

• Optics and Photonics
• Diffraction Gratings
• Optical Engineering

Context:

• Concave gratings are crucial optical components.
• Current methods have limitations in calculating diffraction efficiency.
• Improving energy concentration in specific diffraction orders is a key challenge.

Purpose:

• To propose a novel fabrication method for concave blazed gratings with variable groove angles.
• To develop a theoretical method for calculating diffraction efficiency in both main and non-main sections.
• To simulate and analyze diffraction efficiency variations using computational tools.

Summary:

• A mechanical ruling method is presented to fabricate concave blazed gratings with variable groove angles on concave substrates.
• A theoretical approach using Fresnel-Kirchhoff's diffraction formula is deduced for simultaneous calculation of diffraction efficiency in main and non-main sections.
• Matlab software is used to simulate diffraction efficiency curves versus wavelength, comparing different fabrication methods and parameters.

Impact:

• Enhances the concentration of diffraction energy in desired orders for concave gratings.
• Addresses the limitations of existing methods by enabling comprehensive diffraction efficiency calculation.
• Provides a valuable reference for the design and production of advanced concave gratings.